(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 10.4' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[     14475,        488]
NotebookOptionsPosition[     10883,        377]
NotebookOutlinePosition[     13049,        434]
CellTagsIndexPosition[     12964,        429]
WindowTitle->FCLoopRemoveNegativePropagatorPowers
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[GridBox[{
   {Cell["FEYN CALC SYMBOL", "PacletNameCell"], Cell[TextData[Cell[BoxData[
     ActionMenuBox[
      FrameBox[
       InterpretationBox[Cell[TextData[{
         "URL",
         StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
          StripOnInput->False]
        }]],
        TextCell[
         Row[{"URL", 
           Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
       StripOnInput->
        False], {"\<\"FeynCalc/ref/FCLoopRemoveNegativePropagatorPowers\"\>":>
      None, "\<\"Copy Wolfram Documentation Center URL\"\>":>
      Module[{DocumentationSearch`Private`nb$}, 
       DocumentationSearch`Private`nb$ = NotebookPut[
          Notebook[{
            Cell["FeynCalc/ref/FCLoopRemoveNegativePropagatorPowers"]}, 
           Visible -> False]]; 
       SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
       FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
       NotebookClose[DocumentationSearch`Private`nb$]; Null], 
      Delimiter, "\<\"Copy web URL\"\>":>
      Module[{DocumentationSearch`Private`nb$}, 
       DocumentationSearch`Private`nb$ = NotebookPut[
          Notebook[{
            Cell[
             BoxData[
              MakeBoxes[
               Hyperlink[
               "http://reference.wolfram.com/language/FeynCalc/ref/\
FCLoopRemoveNegativePropagatorPowers.html"], StandardForm]], "Input", 
             TextClipboardType -> "PlainText"]}, Visible -> False]]; 
       SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
       FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
       NotebookClose[DocumentationSearch`Private`nb$]; 
       Null], "\<\"Go to web URL\"\>":>FrontEndExecute[{
        NotebookLocate[{
          URL[
           StringJoin[
            If[
             TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$114194], 
             "http://reference.wolfram.com/system-modeler/", 
             "http://reference.wolfram.com/language/"], 
            "FeynCalc/ref/FCLoopRemoveNegativePropagatorPowers", ".html"]], 
          None}]}]},
      Appearance->None,
      MenuAppearance->Automatic,
      MenuStyle->"URLMenu"]],
     LineSpacing->{1.4, 0}]], "AnchorBar"]}
  }]], "AnchorBarGrid",
 GridBoxOptions->{GridBoxItemSize->{"Columns" -> {
     Scaled[0.65], {
      Scaled[0.34]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, 
   "RowsIndexed" -> {}}},
 CellID->1],

Cell[TextData[{
 Cell["FCLoopRemoveNegativePropagatorPowers", "ObjectName"],
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{8, 0}],
    CacheGraphics->False],
   Spacer[8]]]],
 Cell[BoxData[""], "ObjectNameTranslation"]
}], "ObjectNameGrid"],

Cell[CellGroupData[{

Cell[BoxData[GridBox[{
   {"", Cell[TextData[{
     Cell[BoxData[
      RowBox[{"FCLoopRemoveNegativePropagatorPowers", "[", "exp", "]"}]], 
      "InlineFormula"],
     " \[LineSeparator]rewrites propagators raised to integer powers as \
products."
    }]]}
  }]], "Usage",
 GridBoxOptions->{
 GridBoxBackground->{
  "Columns" -> {{None}}, "ColumnsIndexed" -> {}, "Rows" -> {{None}}, 
   "RowsIndexed" -> {}}},
 CellID->982511436],

Cell[CellGroupData[{

Cell[TextData[Cell[BoxData[
 ButtonBox[Cell[TextData[{
   Cell[BoxData[
    InterpretationBox[
     StyleBox[
      GraphicsBox[{},
       BaselinePosition->Baseline,
       ImageSize->{6, 0}],
      CacheGraphics->False],
     Spacer[6]]]],
   "Details"
  }], "NotesFrameText"],
  Appearance->{Automatic, None},
  BaseStyle->None,
  ButtonFunction:>(FrontEndExecute[{
     FrontEnd`SelectionMove[
      FrontEnd`SelectedNotebook[], All, ButtonCell], 
     FrontEndToken["OpenCloseGroup"], 
     FrontEnd`SelectionMove[
      FrontEnd`SelectedNotebook[], After, CellContents]}]& ),
  Evaluator->None,
  Method->"Preemptive"]]]], "NotesSection",
 WholeCellGroupOpener->True,
 CellGroupingRules->{"SectionGrouping", 50},
 CellID->227727755],

Cell["", "SectionHeaderSpacer"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Options", "[", "FCLoopRemoveNegativePropagatorPowers", 
  "]"}]], "Input",
 CellLabel->"In[13]:=",
 CellID->2084003220],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{
    RowBox[{"FeynCalcInternal", "\[Rule]", "False"}], ",", 
    RowBox[{"FeynCalcExternal", "\[Rule]", "False"}], ",", 
    RowBox[{"FCLoopPropagatorPowersCombine", "\[Rule]", "True"}]}], "}"}], 
  TraditionalForm]], "Output",
 ImageSize->{569, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[13]=",
 CellID->829881120]
}, Open  ]]
}, Closed]]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "PrimaryExamplesSection",
 WholeCellGroupOpener->True,
 CellTags->"PrimaryExamplesSection",
 CellID->1123703484],

Cell[CellGroupData[{

Cell[TextData[{
 "Basic Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "ExampleSection", "ExampleSection",
 WholeCellGroupOpener->True,
 CellID->1014061102],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"SFAD", "[", 
  RowBox[{"{", 
   RowBox[{"q", ",", "m", ",", 
    RowBox[{"-", "1"}]}], "}"}], "]"}]], "Input",
 CellLabel->"In[1]:=",
 CellID->780191296],

Cell[BoxData[
 FormBox[
  TemplateBox[{"\"(\"",SuperscriptBox[
     FormBox[
      FormBox["q", TraditionalForm], TraditionalForm], 2],RowBox[{"-", "m"}],
    "\"+\"",RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
   "RowDefault"], TraditionalForm]], "Output",
 ImageSize->{91, 18},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[1]=",
 CellID->1358803988]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{"FCLoopRemoveNegativePropagatorPowers", "[", "%", 
  "]"}], "\[IndentingNewLine]", 
 RowBox[{"%", "//", "StandardForm"}]}], "Input",
 CellLabel->"In[2]:=",
 CellID->970414709],

Cell[BoxData[
 FormBox[
  RowBox[{
   SuperscriptBox[
    FormBox[
     FormBox["q",
      TraditionalForm],
     TraditionalForm], "2"], "-", "m"}], TraditionalForm]], "Output",
 ImageSize->{55, 18},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[2]=",
 CellID->1116802626],

Cell[BoxData[
 RowBox[{
  RowBox[{"-", "m"}], "+", 
  RowBox[{"Pair", "[", 
   RowBox[{
    RowBox[{"Momentum", "[", 
     RowBox[{"q", ",", "D"}], "]"}], ",", 
    RowBox[{"Momentum", "[", 
     RowBox[{"q", ",", "D"}], "]"}]}], "]"}]}]], "Output",
 ImageSize->{330, 15},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[2]//StandardForm=",
 CellID->416010148]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"SFAD", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"q", ",", "m"}], "}"}], ",", 
   RowBox[{"q", "+", "p"}], ",", 
   RowBox[{"{", 
    RowBox[{"q", ",", "m", ",", 
     RowBox[{"-", "2"}]}], "}"}]}], "]"}]], "Input",
 CellLabel->"In[3]:=",
 CellID->141400788],

Cell[BoxData[
 FormBox[
  FractionBox["1", 
   RowBox[{
    TemplateBox[{"\"(\"",SuperscriptBox[
       FormBox[
        FormBox["q", TraditionalForm], TraditionalForm], 2],
      RowBox[{"-", "m"}],"\"+\"",RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],
      "\")\""},
     "RowDefault"], ".", 
    TemplateBox[{"\"(\"",RowBox[{
        SuperscriptBox[
         RowBox[{
           FormBox["\"(\"", TraditionalForm], 
           FormBox[
            FormBox[
             RowBox[{
               FormBox["p", TraditionalForm], "+", 
               FormBox["q", TraditionalForm]}], TraditionalForm], 
            TraditionalForm], 
           FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"",
      RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
     "RowDefault"], ".", 
    FractionBox["1", 
     SuperscriptBox[
      TemplateBox[{"\"(\"",SuperscriptBox[
         FormBox[
          FormBox["q", TraditionalForm], TraditionalForm], 2],
        RowBox[{"-", "m"}],"\"+\"",
        RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
       "RowDefault"], "2"]]}]], TraditionalForm]], "Output",
 ImageSize->{311, 60},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[3]=",
 CellID->2048218315]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{"FCLoopRemoveNegativePropagatorPowers", "[", "%", 
  "]"}], "\[IndentingNewLine]", 
 RowBox[{"%", "//", "StandardForm"}]}], "Input",
 CellLabel->"In[4]:=",
 CellID->1504944720],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{
    SuperscriptBox[
     FormBox[
      FormBox["q",
       TraditionalForm],
      TraditionalForm], "2"], "-", "m"}], 
   TemplateBox[{"\"(\"",RowBox[{
       SuperscriptBox[
        RowBox[{
          FormBox["\"(\"", TraditionalForm], 
          FormBox[
           FormBox[
            RowBox[{
              FormBox["p", TraditionalForm], "+", 
              FormBox["q", TraditionalForm]}], TraditionalForm], 
           TraditionalForm], 
          FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"",
     RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
    "RowDefault"]], TraditionalForm]], "Output",
 ImageSize->{115, 43},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[4]=",
 CellID->1100467970],

Cell[BoxData[
 RowBox[{
  RowBox[{"FeynAmpDenominator", "[", 
   RowBox[{"StandardPropagatorDenominator", "[", 
    RowBox[{
     RowBox[{
      RowBox[{"Momentum", "[", 
       RowBox[{"p", ",", "D"}], "]"}], "+", 
      RowBox[{"Momentum", "[", 
       RowBox[{"q", ",", "D"}], "]"}]}], ",", "0", ",", "0", ",", 
     RowBox[{"{", 
      RowBox[{"1", ",", "1"}], "}"}]}], "]"}], "]"}], " ", 
  RowBox[{"(", 
   RowBox[{
    RowBox[{"-", "m"}], "+", 
    RowBox[{"Pair", "[", 
     RowBox[{
      RowBox[{"Momentum", "[", 
       RowBox[{"q", ",", "D"}], "]"}], ",", 
      RowBox[{"Momentum", "[", 
       RowBox[{"q", ",", "D"}], "]"}]}], "]"}]}], ")"}]}]], "Output",
 ImageSize->{399, 50},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[4]//StandardForm=",
 CellID->1579813190]
}, Open  ]]
}, Open  ]]
}, Open  ]],

Cell[" ", "FooterCell"]
},
Saveable->False,
ScreenStyleEnvironment->"Working",
WindowSize->{725, 750},
WindowMargins->{{-10, Automatic}, {Automatic, -8}},
WindowTitle->"FCLoopRemoveNegativePropagatorPowers",
TaggingRules->{
 "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> 
  GridBox[{{
      RowBox[{
        ButtonBox[
        "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", 
         BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> 
    Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> 
  None, "RootCaptions" -> "", 
  "Metadata" -> {
   "built" -> "{2020, 6, 20, 19, 5, 55.025057}", 
    "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", 
    "keywords" -> {}, "specialkeywords" -> {}, 
    "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> 
    "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> 
    "None", "summary" -> 
    "FCLoopRemoveNegativePropagatorPowers[exp] rewrites propagators raised to \
integer powers as products.", "synonyms" -> {}, "tabletags" -> {}, "title" -> 
    "FCLoopRemoveNegativePropagatorPowers", "titlemodifier" -> "", 
    "windowtitle" -> "FCLoopRemoveNegativePropagatorPowers", "type" -> 
    "Symbol", "uri" -> "FeynCalc/ref/FCLoopRemoveNegativePropagatorPowers"}, 
  "SearchTextTranslated" -> ""},
CellContext->"Global`",
FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)",
StyleDefinitions->Notebook[{
   Cell[
    StyleData[
    StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], 
   Cell[
    StyleData["Input"], CellContext -> "Global`"], 
   Cell[
    StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, 
  FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", 
  StyleDefinitions -> "Default.nb"]
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{
 "PrimaryExamplesSection"->{
  Cell[5237, 166, 388, 15, 31, "PrimaryExamplesSection",
   CellTags->"PrimaryExamplesSection",
   CellID->1123703484]}
 }
*)
(*CellTagsIndex
CellTagsIndex->{
 {"PrimaryExamplesSection", 12820, 422}
 }
*)
(*NotebookFileOutline
Notebook[{
Cell[608, 21, 2418, 56, 53, "AnchorBarGrid",
 CellID->1],
Cell[3029, 79, 313, 11, 45, "ObjectNameGrid"],
Cell[CellGroupData[{
Cell[3367, 94, 431, 13, 85, "Usage",
 CellID->982511436],
Cell[CellGroupData[{
Cell[3823, 111, 738, 24, 31, "NotesSection",
 CellGroupingRules->{"SectionGrouping", 50},
 CellID->227727755],
Cell[4564, 137, 31, 0, 70, "SectionHeaderSpacer"],
Cell[CellGroupData[{
Cell[4620, 141, 143, 4, 70, "Input",
 CellID->2084003220],
Cell[4766, 147, 410, 12, 37, "Output",
 CellID->829881120]
}, Open  ]]
}, Closed]]
}, Open  ]],
Cell[CellGroupData[{
Cell[5237, 166, 388, 15, 31, "PrimaryExamplesSection",
 CellTags->"PrimaryExamplesSection",
 CellID->1123703484],
Cell[CellGroupData[{
Cell[5650, 185, 196, 6, 26, "ExampleSection",
 CellID->1014061102],
Cell[CellGroupData[{
Cell[5871, 195, 177, 6, 27, "Input",
 CellID->780191296],
Cell[6051, 203, 399, 11, 39, "Output",
 CellID->1358803988]
}, Open  ]],
Cell[CellGroupData[{
Cell[6487, 219, 199, 5, 45, "Input",
 CellID->970414709],
Cell[6689, 226, 309, 12, 39, "Output",
 CellID->1116802626],
Cell[7001, 240, 394, 13, 51, "Output",
 CellID->416010148]
}, Open  ]],
Cell[CellGroupData[{
Cell[7432, 258, 286, 10, 27, "Input",
 CellID->141400788],
Cell[7721, 270, 1238, 35, 81, "Output",
 CellID->2048218315]
}, Open  ]],
Cell[CellGroupData[{
Cell[8996, 310, 200, 5, 45, "Input",
 CellID->1504944720],
Cell[9199, 317, 799, 26, 64, "Output",
 CellID->1100467970],
Cell[10001, 345, 816, 25, 86, "Output",
 CellID->1579813190]
}, Open  ]]
}, Open  ]]
}, Open  ]],
Cell[10856, 375, 23, 0, 41, "FooterCell"]
}
]
*)

(* End of internal cache information *)

